Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian

In this article, we establish the existence of three weak solutions for elliptic equations associated to the fractional Laplacian $$\displaylines{ (-\Delta)^s u = \lambda f(x,u) \quad \text{in } \Omega,\cr u= 0\quad \text{on } \mathbb{R}^N\setminus\Omega, }$$ where $\Omega$ is an open bounded...

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Bibliographic Details
Main Authors: Jung-Hyun Bae, Yun-Ho Kim
Format: Article
Language:English
Published: Texas State University 2019-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/18/abstr.html